Simplify the expression. (n^7)^2

Answer:

16,500

Step-by-step explanation:

Answer:

16,500

Step-by-step explanation:

inner that is written in words into number form. sorry it's not a very detailed explanation but I hope this helps

Answer:

it would be -12

Step-by-step explanation:

Step-by-step explanation:

the answer is = 650/50 = 13

so, she got 13, 50 rupee note.

hope this helps.

Answer:

Step-by-step explanation:

here you go mate

step 1

(x^3)4  equation

step 2

(x^3)4  simplify

answer

4x^3

can i get brainliest if you dont mind

The measurement of the angle OP is 39

The given parameters that will help us to answer the question are

R is mid point of OQ

S is mid point of PQ

RS = 3x + 38

OP = 4x- 14

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

This implies that So,

[1/2][3x + 38] = [4x- 14]

[3x+38] = 2[4x- 14]

Opening the brackets we have

3x+38=8x-28

Collecting like terms

3x-8x=-28-38

-5x=-66

Making x the subject of the relation we have

x = -66 / -5

x = 13.2

Therefore RS = 3(13.2) + 38 = -11.4

OP = 4(13.2)- 14=38.8

Measurement of OP = 39 approximately

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Answer:

I think b

Step-by-step explanation:

sorry if im wrong

Answer:

72

Step-by-step explanation:

modern algebraic notation, the statement "quantities a, b, c, ..., y are in continuous proportion" can be represented as a/b = b/c = c/d = ... = y/z, where the ratio between each quantity and the next one is always the same.

we can say that if we let r be the common ratio between consecutive terms, then we can write:
b = ar
c = br = a r^2
d = cr = a r^3
and so on, where each term is obtained by multiplying the previous term by r.
Therefore, we can write the nth term as a r^(n-1), and we can express any term in terms of the first term a and the common ratio r as:
a_n = a r^(n-1)
By using this algebraic notation, we can easily determine any term in the sequence by knowing the first term and the common ratio between consecutive terms.

Overall, by understanding the concept of continuous proportion and using modern algebraic notation, we can express the relationship between a sequence of quantities and find any term in the sequence.

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Answer:

r^6

Step-by-step explanation:

In the laws of indices, it states that for division of indices of the same bases, there is a subtraction of indexes or powers.

For example, a^x/a^y = a^(x-y)

Therefore, r^9/r^3 = r^(9-3) = r^6

Answer:

  55°

Step-by-step explanation:

Perhaps you want the measure of angle B. (There is no "b" in the figure.)

That measure is half the measure of the intercepted arc:

  m∠B = 110°/2 = 55°

Angle B is 55°.

The observed odds ratio (the observed association between migraine headache and cell phone use) is OR = 1.23.

An investigator is studying the association between cell phone use and migraine headaches.

100 cases (migraine patients) and 100 controls (people who don't suffer from migraine), and asks each group how many hours they use their cell phones per day, on average.

To calculate odd ratio ( exposure is cell phone as to check cell phone use on migraine)

Odds of disease in exposed = 60/55= 1.09

Odd of disease in non exposed = 40/45 = 0.88

Thus the odds ratio will be = 1.09:0.88

=> Odds of disease in exposed / odds of disease in non exposed = 1.09/ 0.88 = 1.23

= OR = 1.23

Hence the answer is the observed odds ratio (the observed association between migraine headache and cell phone use) is OR = 1.23.

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\(L(x,y)=f(a,b)+f_x'(a,b)(x-a)+f_y'(a,b)(y-b)\\\\f(x,y)=x+yx\\(a,b)=(1,6)\\\\f(1,6)=1+6\cdot1=7\\f'_x(x,y)=1+y\\f'_x(1,6)=1+6=7\\f'_y(x,y)=x\\f'_y(1,6)=1\\\\L(1,6)=7+7\cdot(x-1)+1\cdot(y-6)\\L(1,6)=7+7x-7+y-6\\L(1,6)=7x+y-6\)

The Solution of the given system of equations is x = -2 , y = 5 and z = 4 .

In the question ,

it is given that ,

the system of linear equations is given as

x - y \(+\) 2z \(=\) 1           .....equation(1)

3x \(+\) y \(+\) 5z \(=\) 19      .....equation(2)

2x − y − 2z \(=\) -17      .....equation(3) ,

Multiplying equation(1) by -3 and adding with equation(2) ,

we get ,

4y - z = 16       ......equation(4)

Multiplying equation(1) by -2 and adding with equation(3) ,

we get ,

y - 6z \(=\) -19       .....equation(5)

Now , multiplying equation(5) with -4 and adding with equation(4) ,

we get ,

23z \(=\) 92

So , z = 92/23 = 4

z = 4 .

Substituting z = 4 , in 4y - z = 16   ,

we get ,

4y - 4 \(=\) 16

4y = 16 \(+\) 4

4y = 20

y = 20/4

y \(=\) 5

Substituting z = 4 and y = 5 in the equation x - y + 2z = 1   ,

we get ,

x - 5 \(+\) 2×4 \(=\) 1

x - 5 \(+\) 8 \(=\) 1

x \(+\) 3 \(=\) 1

x \(=\) -2

Therefore , the system has a unique solution that is x = -2 , y = 5 and z = 4 .

The given question is incomplete , the complete question is

Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, express your answer in terms of t, where x = x(t), y = y(t), and z = t. If there is no solution, enter NO SOLUTION.)

x − y + 2z = 1

3x + y + 5z = 19

2x − y − 2z = −17

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Answer:

Option (c) is correct.

Step-by-step explanation:

The edge length of a cube is 5 cm.

We need to find the volume of the cube.

The formula for the volume of a cube is given by :

\(V=a^3\)

Put a = 5 cm in above formula

\(V=(5)^3\\\\=125\ cm^3\)

Hence, cubic centimeters is the appropriate unit for measuring the volume of a cube.

Answer:

6 up 6 so its 6 over 6

Step-by-step explanation:

To find the volumes of the solids generated by revolving the region between the curves y = √(4x) and y = x^2/8 about the x-axis and y-axis, we can use the disk or washer method.

a) Volume about the x-axis:

The curves intersect at x = 0 and x = 16. We can set up the integral to find the volume as follows:

V = π∫[0,16] [(r(x))^2 - (R(x))^2] dx

where r(x) is the radius of the inner curve y = √(4x) and R(x) is the radius of the outer curve y = x^2/8.

r(x) = √(4x) and R(x) = x^2/8, so we have:

V = π∫[0,16] [(√(4x))^2 - (x^2/8)^2] dx

= π∫[0,16] [4x - (x^4/64)] dx

= π[2x^2 - (x^5/80)]|[0,16]

≈ 1853.7 cubic units (rounded to one decimal place)

b) Volume about the y-axis:

The curves intersect at x = 0 and x = 16. We can set up the integral to find the volume as follows:

V = π∫[0,4] [(r(y))^2 - (R(y))^2] dy

where r(y) is the radius of the inner curve x = √(y/4) and R(y) is the radius of the outer curve x = 2√y.

r(y) = √(y/4) and R(y) = 2√y, so we have:

V = π∫[0,4] [(√(y/4))^2 - (2√y)^2] dy

= π∫[0,4] [y/4 - 4y] dy

= π[-(15/4)y^2]|[0,4]

= 15π cubic units

Therefore, the volume of the solid generated by revolving the region between y = √(4x) and y = x^2/8 about the x-axis is approximately 1853.7 cubic units (rounded to one decimal place), and the volume of the solid generated by revolving the region about the y-axis is 15π cubic units.

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Answer:

You can do it! Sorry i can't help because your on a different level. Try your best!

Step-by-step explanation:

The first part of the function is a constant function, so its Fourier Transform is zero. The second part of the function is a linear function, so its Fourier Transform is a constant times

the Fourier Transform of the given function:

F(w) = where and is the Heaviside step function.

To find the Fourier Transform of the given function, we can use the following steps:

Start with the definition of the Fourier Transform:

F(w) = ∫ f(x) e^(-iwx) dx

Substitute the given function into the formula:

F(w) = ∫ 1 - x/2 0 -1 otherwise e^(-iwx) dx

Split the integral into two parts:

F(w) = ∫ 1 e^(-iwx) dx + ∫ -x/2 e^(-iwx) dx

Evaluate the first integral:

∫ 1 e^(-iwx) dx = -i/w

Evaluate the second integral:

∫ -x/2 e^(-iwx) dx = i/(2w) (e^(-iwx) - e^(iwx))

Add the two integrals to get the final answer:

F(w) =

The given function is a piecewise function, so we need to use the Heaviside step function to evaluate the Fourier Transform. The Heaviside step function is defined as follows:

H(x) = where is a real number.

In this case, the Heaviside step function is used to represent the two parts of the given function. The first part of the function is zero for

and one for. The second part of the function is zero for and

The Fourier Transform of a piecewise function can be found using the following steps:

For each part of the function, find the Fourier Transform of the function.

Add the Fourier Transforms of each part to get the final answer.

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The equation of the dilated line in slope-intercept form is:
y' = 3x' - 3

To find the equation of the dilated line in slope-intercept form, we'll follow these steps:

1. Convert the original equation into slope-intercept form (y = mx + b).
2. Find the coordinates of the point after dilation.
3. Use the slope from the original equation and the new point to find the new equation.

Step 1: Convert the original equation into slope-intercept form:
15 + y = 3x
y = 3x - 15

Step 2: Find the coordinates of the point after dilation:
Dilation formula: (x', y') = (a(x - h) + h, a(y - k) + k)
Given point (h, k) = (3, -6) and scale factor a = 3

x' = 3(x - 3) + 3
y' = 3(y + 6) - 6

Step 3: Use the slope from the original equation (m = 3) and the new point (x', y') to find the new equation:
y' = 3x' + b

Substitute the expressions for x' and y' from step 2:
3(y + 6) - 6 = 3(3(x - 3) + 3) + b

Simplify the equation and solve for b:
3y + 18 - 6 = 9x - 27 + 9 + b
3y + 12 = 9x - 18 + b

Now, substitute the original point (3, -6) into the equation to find b:
-6 + 12 = 9(3) - 18 + b
6 = 27 - 18 + b
6 = 9 + b

b = -3

The equation of the dilated line in slope-intercept form is:
y' = 3x' - 3

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Answer:

x = 10

Step-by-step explanation:

Since the pentagons are similar you can say...

4x cm/48 cm = x cm/(x+2) cm

Now do cross multiplication with this equation, so 4x is multiplied with (x+2) and 48 is multiplied with x... you end up with:

4x^2+8x = 48x, now subtraction 8x from 48 x....

4x^2 = 40x, and divide one x from each side

4x = 40, therefore x = 10

The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.

To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.

First, we need to standardize the values of 450 and 600 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For 450:

z = (450 - 511) / 110 = -0.55

For 600:

z = (600 - 511) / 110 = 0.81

Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.

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Answer:

A. (-3,1)

Explanation:

if you invert the point over the Y-axis, then it will switch the x point to negative.

Given

Find

Express as a single term

Explanation

now,

Final Answer

Therefore, the single expression is

The probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).

To use the empirical rule, we first need to convert the value of 10.1 years into a z-score:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

z = (10.1 - 12.5) / 2.4

z = -1.00

Using the empirical rule, we know that approximately:

68% of the data falls within one standard deviation of the mean

95% of the data falls within two standard deviations of the mean

99.7% of the data falls within three standard deviations of the mean

Since we want to estimate the probability of a lion living more than 10.1 years, we need to find the area under the normal curve to the right of this value. This is equivalent to finding the area to the left of the z-score of -1.00 (since the standard normal distribution is symmetric).

From a standard normal distribution table or calculator, we can find that the area to the left of z = -1.00 is approximately 0.1587.

Therefore, the probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).

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The value of R(x) term is 36.

We are given that;

The equation x³ + 2x² - 72x - 28

Now,

We divide the first term, 8x, by the first term of d(x), which is x. This gives us 8, which is the third term of Q(x). We write 8 above the division bar and multiply it by d(x), which gives us 8x - 64. We subtract this from the new dividend, which gives us 36.

Since we cannot divide 36 by x-8 any further, we stop here and write 36 as the remainder R(x).

   x² + 10x + 8

  _______________

x-8 | x³ + 2x² - 72x - 28

    - (x³ - 8x²)

    -------------

        10x² - 72x

      - (10x² -80x)

      -------------

             8x -28

           - (8x -64)

           ----------

                36

Q(x) = x² + 10x + 8 and R(x) = 36.

Therefore, by the equation the answer will be R(x) = 36.

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Answer:

the third one, each square is 5%

Answer: C

Step-by-step explanation: 75% is 3/4. C has 20 squares, divided by 4 is 5, and 3 times 5 is 15. And 15 squares is shown in choice C.